Self-biasing, low voltage, multiplying DAC

ABSTRACT

A multiplying digital-to-analog converter produces first and second output currents that have a magnitude difference equal to a gain value multiplied by a magnitude difference between first and second input currents. The multiplying digital-to-analog converter has first and second input nodes for carrying the first and second input currents and first and second output nodes for carrying the first and second output currents. A first input transistor has a first terminal coupled to the first input node, a second terminal with voltage that increases with increases in the first input current, and a third terminal for carrying a first input bias current. A second input transistor has a first terminal coupled to the second input node, a second terminal with a voltage that increases with increases in the second input current, and a third terminal for carrying a second input bias current. A first output transistor has a first terminal coupled to the first output node, a second terminal coupled to a second terminal of the first input transistor, and a third terminal for carrying a first output bias current. A similar second output transistor has a third terminal for carrying a second output bias current. A first output bias circuit between a reference voltage and the third terminals of the first and second output transistors includes a gate transistor receiving a gate input signal, wherein the gate transistor is the only element in the first output bias circuit that is capable of receiving a signal other than the first and second output bias currents and the reference voltage.

This application claims the priority benefits of a provisional U.S. patent application having application No. 60/019,721, filed Jun. 13, 1996.

BACKGROUND OF THE INVENTION

The present invention relates to multiplying digital-to-analog converters. In particular, the present invention relates to self-biasing, low voltage, multiplying digital-to-analog converters.

Multiplying digital-to-analog converters (multiplying DACs) produce two output currents that have a magnitude difference equal to a gain value multiplied by the magnitude difference between two input currents. The gain value is determined by a multi-bit binary input, which is capable of representing a range of binary values. In particular, the gain is equal to the ratio of a particular binary value to the total number of binary values that can be represented by the binary input. For instance, in a multiplying DAC with four binary input bits, there are 2⁴ or sixteen possible values that may be represented by the input bits. Therefore, a binary value of 0010, representing a decimal value of two, would create a gain of 2/16 or 1/8.

Some multiplying DACs apply negative gain values by accepting negative binary input values. A negative binary value is typically represented by a two's complement or a one's complement form of a positive value. A one's complement form of a positive binary value is produced by taking the complement of each bit in the binary value. The two's complement of a positive binary value is formed by adding 1 to the one's complement format. In both cases, the most significant bit, the bit furthest to the left, is equal to zero for a positive binary value and is equal to one for a negative binary value.

FIG. 1 shows a multiplying DAC 20 of the prior art. Multiplying DAC 20 receives two input current signals I₁ and I₂, and produces two output current signals I₃ and I₄. Transistors Q₁ and Q₂ form the input section of multiplying DAC 20, and receive input currents I₁ and I₂, respectively. Transistors Q₁ and Q₂ are both NPN bipolar transistors configured as diodes with their collectors connected to their bases. The emitters of transistors Q₁ and Q₂ are connected together at a reference voltage VREF. In this configuration, the emitter of transistor Q, carries a current that is nearly equal to the input current I₁. Similarly, transistor Q₂ 's emitter carries a current that is nearly equal to input current I₂.

Each of the output currents, I₃ and I₄ are constructed from the sum of collector currents of NPN bipolar transistors. Specifically, output current I₃ is constructed from the sum of the collector currents of transistors Q₃ and Q₆ ; and output current I₄ is constructed from the sum of the collector currents of transistors Q₄ and Q₅. Transistors Q₃ and Q₄ are associated with a positive gain for the multiplying DAC and transistors Q₅ and Q₆ are associated with a negative gain.

The bases of transistors Q₃ and Q₄ are connected to the bases of transistors Q₁ and Q₂, respectively. The emitters of transistors Q₃ and Q₄ are connected together and are further connected to a tail current circuit. Thus, transistors Q₃ and Q₄ are configured as a differential pair. Because transistors Q₃ and Q₄ are connected as a differential pair between the bases of transistors Q₁ and Q₂, transistor Q₃ acts as a current mirror to transistor Q₁ and transistor Q₄ acts as a current mirror to transistor Q₂ such that the currents of transistors Q₃ and Q₄ are proportional to the currents of transistor Q₁ and Q₂, respectively. In addition, since all of the transistors Q₁, Q₂, Q₃, and Q₄ are identical, the ratio of transistor Q₁ 's collector current over transistor Q₃ 's collector current is the same as the ratio of transistor Q₂ 's collector current over transistor Q₄ 's collector current.

Transistors Q₅ and Q₆ are cross-connected relative to transistors Q₃ and Q₄. Thus, the base of transistor Q₅ is connected to the base of transistor Q₁ but the collector of transistor Q₅ is cross-connected to the node carrying output current I₄. Similarly, transistor Q₆ has its collector connected to the node carrying output current I₃ while its base is connected to the base of transistor Q₂. Transistors Q₁ and Q₅, and transistors Q₂ and Q₆ form two additional current mirrors that attempt to form collector currents in transistors Q₅ and Q₆ that are proportional to the collector currents of transistors Q₁ and Q₂, respectively. Again, since transistors Q₁,Q₂,Q₅, and Q₆ are identical, the ratio of transistor Q₁ 's collector current over transistor Q₅ 's collector current is the same as the ratio of transistor Q₂ 's collector current over transistor Q₆ 's collector current.

Thus, the various collector currents, I_(c), are defined as:

    I.sub.C3 =AI.sub.1 ;                                       Eq. (1)

    I.sub.C4 =AI.sub.2 ;                                       Eq. (2)

    I.sub.C5 =BI.sub.1 ;                                       Eq. (3)

    I.sub.C6 =BI.sub.2.                                        Eq. (4)

Where I_(C3), I_(C4), I_(C5), I_(C6) are the collector currents of transistors Q₃, Q₄, Q₅, and Q₆, respectively, and where A is the ratio of transistor Q₁ 's collector current over transistor Q₃ 's collector current, which is the same as the ratio of transistor Q₂ 's collector current over transistor Q₄ 's collector current; and B is the ratio of transistor Q₁ 's collector current over transistor Q₅ 's collector current, which is the same as the ratio of transistor Q₂ 's collector current over transistor Q₆ 's collector current.

Thus, output currents I₃ and I₄ are defined as:

    I.sub.3 =AI.sub.1 +BI.sub.2                                Eq. ( 5)

    I.sub.4 =AI.sub.2 +BI.sub.1                                Eq. ( 6)

The values of A and B can be determined by combining the currents defined by these values. Thus: ##EQU1##

Since the emitter currents of transistors Q₃, Q₄, Q₅ and Q₆ are approximately equal to their respective collector currents, the emitter currents may be substituted in the equations above, providing: ##EQU2##

Thus, the ratios, A and B, that determine the output currents are controlled by the sum of the emitter currents of transistors Q₃ and Q₄ ;and the sum of the emitter currents of transistors Q₅ and Q₆, respectively. These emitter currents are determined by two respective tail current circuits that are connected to the two transistor pairs.

The tail current circuit connected to the emitters of transistors Q₃ and Q₄ includes three parallel current sources that are each part of separate current mirrors. The first current source includes transistor Q₇, resistor R₁ and field-effect transistor Q₈ ; the second current source includes transistor Q₉, resistor R₂ and field-effect transistor Q₁₀ ; and the third current source includes transistor Q₁₁, resistor R₃ and field-effect transistor Q₁₂. The collectors of transistors Q₇, Q₉, and Q₁₁ are connected together at the emitters of transistors Q₃ and Q₄. In addition, the bases of transistors Q₇, Q₉, and Q₁₁ are connected together and are further connected to an additional current source that completes each of the three current mirrors.

The additional current source is formed by transistor Q₁₃, resistor R₄, and field-effect transistor Q₁₃, with the base of transistor Q₁₃ connected to the bases of transistors Q₇, Q₉, and Q₁₁. Connected between the collector and the base of transistor Q₁₃ is transistor Q₁₄, which has its base connected to the collector of transistor Q₁₃ and its emitter connected to the base of transistor Q₁₃. A reference current IREF, is input to the node between the base of transistor Q₁₄ and the collector of transistor Q₁₃. In this configuration, reference current IREF causes transistors Q₁₃ and Q₁₄ to operate such that the collector current of transistor Q₁₃ is nearly equal to IREF.

In order to maintain transistor Q₁₄ in an active state, a bias circuit, formed by transistor Q₁₅ and resistor R₅, is connected to the emitter of transistor Q₁₄. Transistor Q₁₅ is connected in a diode configuration with the collector and base of transistor Q₁₅ connected to the emitter of transistor Q₁₄. Resistor R₅ is connected to the emitter of transistor Q₁₅ and is chosen to be sufficiently large to minimize current loss while maintaining transistor Q₁₄ in an active state.

The tail current circuit connected to the emitters of transistors Q₅ and Q₆ includes a single current source constructed from NPN transistor Q₁₇, resistor R₆, and field-effect transistor Q₁₈. Transistor Q₁₇ has its collector connected to the emitters of transistors Q₅ and Q₆, and its base connected to the base of transistors Q₁₃ to form a current mirror with transistor Q₁₃.

The collector currents of transistor Q₇, Q₉, Q₁₁, and Q₁₇ are controlled by the state of field-effect transistors Q₈, Q₁₀, Q₁₂, and Q₁₈, respectively, and the collector current of transistor Q₁₃. When a field-effect transistor is active, its respective transistor, Q₇, Q₉, Q₁₁ or Q₁₇, conducts a collector current that is proportional to the collector current of transistor Q₁₃. When a field-effect transistor is inactive, its respective transistor does not have a collector current. For instance, when field-effect transistor Q₈ is active, the collector current of transistor Q₇ is proportional to the collector current of transistor Q₁₃. When field-effect transistor Q₈ is inactive, transistor Q₇ does not have a collector current.

Each of the transistors Q₇, Q₉, Q₁₁ and Q₁₇ conducts a collector current of different proportions to the collector current of transistor Q₁₃. This is accomplished by scaling the respective transistors Q₇, Q₉, Q₁₁ and Q₁₇ to transistor Q₁₃, scaling the respective resistors R₁, R₂, R₃ and R₆ to resistor R₄, and scaling field-effect transistors Q₈, Q₁₀, Q₁₂ and Q₈ to transistor Q₆. For example, transistor Q₇ is typically chosen to be much smaller than transistor Q₁₃, resistor R₁ is chosen to be sixteen times as large as resistor R₄, and the width-to-length ratio of transistor Q₁₆ is sixteen times the width-to-length ratio of transistor Q₈. In this configuration, transistor Q₇, resistor R₁, and transistor Q₈ will conduct a current that is 1/16 the current found in transistor Q₁₃, resistor R₄, and transistor Q₁₆. Similarly, resistor R₂ is chosen to be 8 times as large as resistor R₄ so that resistor R₂ and transistors Q₉ and Q₁₀ conduct 1/8 the current of resistor R₄ and transistors Q₁₃ and Q₁₆. Resistor R₃ is chosen to be 4 times as large as resistor R₄ so that resistor R₃ and transistors Q₁₁ and Q₁₂ conduct 1/4 the current of transistor Q₁₃, and resistor R₆ is chosen to twice as large as resistor R₄ so that resistor R₆ and transistors Q₁₇ and Q₁₈ conduct 1/2 the current of transistor Q₁₃. Note that in this configuration, the collector currents of transistors Q₇, Q₉, Q₁₁, and Q₁₇ differ from each other by a factor of two. Specifically, the collector current of transistor Q₁₇ is twice the collector current of transistor Q₁₁, four times the collector current of transistor Q₉, and eight times the collector current of transistor Q₇.

The fact that the collector currents of transistors Q₇, Q₉ and Q₁₁ differ by factors of two creates a relationship between the binary inputs at the gates of field-effect transistors Q₈, Q₁₀, and Q₁₂ and the sum of the collector currents of transistors Q₇, Q₉, and Q₁₁. Specifically, the sum of the collector currents is equal to the decimal equivalent of the binary value represented by the binary inputs divided by sixteen and multiplied by I_(C13), the collector current of transistor Q₁₃. Thus, for binary inputs D₂, D₁, and D₀, which are the inputs to field-effect transistors Q₈, Q₁₀, and Q₁₂, respectively, the sum of the collector currents for transistors Q₇, Q₉, and Q₁₁ is equal to the decimal equivalent of D₂ D₁ D₀ multiplied by I^(C13) /16. For example, if D₂ D₁ D₀ has a value of 101; where "1" is a high voltage and "0" is a low voltage relative to V_(NEG), the decimal equivalent of "101" is 5 and the sum of the collector currents is (5/16) I_(C13). This result is clear from FIG. 1 where high values for D₂ and D₀ cause field-effect transistors Q₈ and Q₁₂ to be active and to conduct currents of 1/16 I_(C13) and 1/4 I_(C13), respectively. The low value of D₁ keeps transistor Q₁₀ inactive so that no current is conducted through the transistor. Thus, the sum of the collector currents of transistors Q₇, Q₉, and Q₁₁, is (1/16+0+1/4) I_(C13) or 5/16 I_(C13).

Since the sum of the collector currents of transistors Q₇, Q₉, and Q₁₁ is equal to the sum of the emitter currents of transistors Q₃ and Q₄, the relationship between the binary inputs and the sum of the collector currents may be substituted into equation 11 listed above. Thus, ##EQU3##

Similarly, binary input D₃ of field-effect transistor Q₁₈ is related to the collector current of transistor Q₁₇ such that the decimal equivalent of a binary value represented by D₃ 000 multiplied by I_(C13) /16 is equal to the collector current of transistor Q₁₇. Since the collector current of transistor Q₁₇ is equal to the sum of the emitter currents of transistors Q₅ and Q₆, the relationship between D₃ and the collector current of transistor Q₁₇ may be substituted into equation above. Thus, ##EQU4##

As noted above, the gain, G, of a multiplying DAC is equal to the difference between the output currents over the difference between the input currents, or: ##EQU5## Using equations 5 and 6 above, equation 15 becomes: ##EQU6##

Thus, combining equations 13, 14 and 16, the gain of the multiplying DAC is defined as: ##EQU7##

The value of "Decimal D₂ D₁ D₀ ! - Decimal D₃ 000!" is equal to "DECIMAL D₃ D₂ D₁ D₀ !" if D₃ D₂ D₁ D₀ represents negative binary values using a two's complement format where a value of "1" for D₃ represents a negative value and a value of "0" for D₃ represents a positive value. Thus equation 17 may be simplified to: ##EQU8##

For a four-bit binary input, this multiplying DAC should have gain values between -8/16 and +7/16. In order for that to be true in equation 18, I_(C13) must equal I₁ +I₂.

I_(C13) equals I₁ +I₂ when IREF is equal to I₁ +I₂. Therefore, in the prior art, reference current IREF must be adjusted to match the common mode of input currents I₁ and I₂. However, this is difficult to accomplish because of noise in the common mode of input currents I₁ and I₂ and noise introduced into the reference current between the point where the reference current is generated and where it is received by transistor Q₁₃. Since changes in the reference current relative to (I₁ +I₂) cause unwanted changes in the gain of the multiplying DAC, the use of a reference current in the prior art is undesirable.

It should also be noted that the reference voltage, V_(REF), connected to the emitters of transistors Q₁ and Q₂, must be maintained above the voltage at the bases of transistors Q₇, Q₉, and Q₁₁, in order to keep those transistors from saturating. Thus, in the circuit of the prior art, the reference voltage and reference current both require specific and steady values that must be externally maintained to keep the circuit accurate.

In addition, for both positive and negative gains, the circuit of FIG. 1 requires a minimum of 2 volts of headroom and in practice 2.5 volts is required to achieve fast settling times. The headroom is measured between the nodes carrying the output currents and the negative power supply voltage V_(NEG). The 2 volt minimum is largely caused by the fact that there are at least two diode drops between the output node and the negative power supply voltage. For instance, transistor Q₃ introduces one diode voltage drop from its base to its emitter and transistor Q₇ introduces a second voltage drop from its base to its emitter. This required headroom is undesirable in light of continuing efforts to reduce the power supply voltages used in electronics.

SUMMARY OF THE INVENTION

The present invention is a self-biasing, multiplying digital-to-analog converter for producing first and second output currents that have a magnitude difference equal to a gain value multiplied by a magnitude difference between first and second input currents. The first and second input currents are carried on first and second input nodes, respectively; and the first and second output currents are carried on first and second output nodes, respectively. First and second input transistor have respective first terminals coupled to the first and second input nodes, respectively. Additionally, the first and second input transistors have respective second terminals that have voltages that increase with increases in the respective first and second input currents. First and second output transistor have respective first terminals coupled to the first output node and second output node, respectively; second terminals coupled to the respective second terminals of the first input transistor and second input transistor; and third terminals for carrying a first output bias current and a second output bias current respectively. The third terminals of the first and second output transistors are connected to an output bias circuit that is further connected to a reference voltage. The first output bias circuit includes a gate transistor that receives a gate input signal. The gate transistor is the only element in the first output bias circuit that receives a signal other than the first and second output bias currents and the reference voltage.

Additional embodiments of the present invention include an input bias circuit connected to the third terminals of the first and second input transistors. The input bias circuit having an impedance greater than zero and in preferred embodiments having an impedance that is a fraction of the impedance found in the first output bias circuit. This fractional impedance causing the sum of the currents in the third terminals of the first and second output transistors to be a fraction of the current in the third terminals of the first and second input transistors.

In additional embodiments of the present invention, additional pairs of output transistors are added to the circuit. The two additional transistors in each pair having respective first terminals connected respectively to the first and second output nodes and respective second terminals respectively connected to the respective second terminals of the first and second input transistors. The two transistors in each additional pair having respective third terminals connected together and connected to an additional respective output bias circuit. The additional respective output bias circuit having a respective gate used to control the conduction of current through the output bias circuit. The respective gate being the only element in the output bias circuit receiving a signal other than the current signal passing through the third terminals of the additional pair of transistors and the reference voltage.

In still further embodiments of the present invention, the gate is shifted from the output bias circuit but remains connected to the third terminals of the first and second output transistors. In these embodiments, the gate is further connected to a voltage source that is capable of providing a voltage to the third terminals of the first and second output transistors when the gate is active. This voltage is sufficient to turn off the first and second output transistors so that their contributions to the first and second output currents is zero. In embodiments with multiple pairs of output transistors, there are multiple gates with connections to the same reference voltage.

By combining the tail current production and the mirror functions of the prior art in one pair of output transistors, the present invention eliminates the need for a separate reference current. In addition, by including an impedance in the first input bias circuit, the circuit is self-biasing such that fluctuations in the common mode of the input currents are automatically compensated for by the input and output bias circuits. The present invention thereby eliminates the need for a reference current and a reference voltage and reduces the headroom multiplying DAC.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a prior art multiplying digital-to-analog converter.

FIG. 2 is a multiplying digital-to-analog converter of the present invention.

FIG. 3 is a second embodiment of a multiplying digital-to-analog converter of the present invention.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

FIG. 2 is a circuit diagram of a multiplying digital-to-analog converter (DAC) 30 of the present invention. Multiplying DAC 30 receives two input currents, I₅ and I₆, and produces two output currents, I₇ and I₈. The majority of input current I₅ is received by the collector of input transistor Q₂₀, which is configured as a diode with its base connected to its collector. The majority of input current I₆ passes through the collector of transistor Q₂₂, which is also configured as a diode with its base connected to its collector. The emitters of transistors Q₂₀ and Q₂₂ are connected together and to an input bias resistor R₂₀. The second terminal of resistor R₂₀ is connected to the drain of field-effect transistor Q₁₆, which has its gate connected to V_(POS) and its source connected to reference voltage V_(NEG). Input bias resistor R₂₀ and transistor Q₁₆ form an input bias circuit between the emitters of transistors Q₂₀ and Q₂₂ and reference voltage V_(NEG).

Each input transistor Q₂₀ and Q₂₂ forms four separate current mirrors with four output transistors. Specifically, output transistors Q₂₄, Q₂₆, Q₂₈, and Q₃₀ form current mirrors with input transistor Q₂₀, and output transistors Q₃₂, Q₃₄, Q₃₆, and Q₃₈ form current mirrors with input transistor Q₂₂. Output transistors Q₂₄, Q₂₆, and Q₂₈ have their bases connected to the base of transistor Q₂₀ and their collectors connected together at an output node carrying output current I₇. Output transistors Q₃₂, Q₃₄, and Q₃₆ have their bases connected to the base of input transistor Q₂₂ and their collectors connected together at a node carrying output current I₈. Transistor Q₃₀, which forms a current mirror with transistor Q₂₀, has its base connected to the base of transistor Q₂₀, but has its collector connected to the output node carrying output current I₈. Similarly, output transistor Q₃₈ has its base connected to the base of Q₂₂, but its collector connected to the output node carrying output current I₇. As described below, these cross-connections of transistors Q₃₀ and Q₃₈ permit multiplying DAC 30 to implement negative gains.

In addition to forming current mirrors with the input transistors, each output transistor is part of a differential pair of transistors that share a common output bias circuit. For example, output transistors Q₂₄ and Q₃₂ form a differential pair, and have their emitters connected together at a first output bias circuit. The first output bias circuit includes resistor R₂₂ which is connected between the emitters of transistors Q₂₄ and Q₃₂ and a field effect transistor Q₄₀, which has its drain connected to the second end of resistor R₂₂ and its source connected to reference voltage V_(NEG). A digital input, D₀, is received at the gate of transistor Q₄₀ and controls the activation of transistor Q₄₀. When input D₀ is equal to reference voltage V_(NEG), transistor Q₄₀ is off and current does not flow through the emitters of transistors Q₂₄ and Q₃₂. When input D₀ is high relative to V_(NEG), transistor Q₄₀ is active and a current flows through both transistor Q₂₄ and transistor Q₃₂.

Transistors Q₂₆ and Q₃₄ form a second differential pair with their emitters connected together at a second output bias circuit that includes resistor R₂₄ and field-effect transistor Q₄₂. Specifically, the emitters of transistors Q₂₆ and Q₂₄ are connected to one terminal of resistor R₂₄. The second terminal of resistor R₂₄ is connected to the drain of field-effect transistor Q₄₂, which has its source connected to reference voltage V_(NEG). The gate of field-effect transistor Q₄₂ receives digital input D₁ and when D₁ is equal to V_(NEG), the emitter currents of transistors Q₂₆ and Q₃₄ are equal to zero. When D₁ is high relative to V_(NEG), transistors Q₂₆ and Q₃₄ are active and conduct a current that passes through resistor R₂₄.

Similarly, transistors Q₂₈ and Q₃₆ form a third output differential pair and transistors Q₃₀ and Q₃₈ form a fourth differential pair. The emitters of transistors Q₂₈ and Q₃₆ are connected to a third output bias circuit that includes resistor R₂₆ and field-effect transistor Q₄₄. Resistor R₂₆ has one end connected to the emitters of transistors Q₂₈ and Q₃₆ and a second end connected to the drain of field-effect transistor Q₄₄, which has its source connected to reference voltage V_(NEG). The gate of field-effect transistor Q₄₄ receives digital input D₂, which controls the activation of transistor Q₄₄. The emitters of transistors Q₃₀ and Q₃₈ are connected to a fourth output bias circuit that includes resistor R₂₈ and field-effect transistor Q₄₆. Resistor R₂₈ is connected to the emitters of transistors Q₃₀ and Q₃₈ and is further connected to the drain of field-effect transistor Q₄₆. The gate of field-effect transistor Q₄₆ receives digital input D₃, which controls the activation of field-effect transistor Q₄₆. The source of field-effect transistor Q₄₆ is connected to reference voltage V_(NEG).

Digital inputs D₀, D₁, D₂ and D₃ control output currents I₇ and I₈ by controlling the currents in the differential pairs of transistors. As described above, when a particular digital input is low relative to V_(NEG), its respective field-effect transistor and differential pair of transistors are inactive. When a particular digital input is high, the respective field-effect transistor conducts a current that is determined by the ratio of the respective resistor in the respective output bias circuit to the resistor in the input bias circuit. For instance, when D₀ is high relative to V_(NEG) and Q₄₀ conducts a current, it is the ratio of resistor R₂₂ to resistor R₂₀ that determines the percentage of input current I₆ and input current I₅ that appears in the collector currents of transistors Q₃₂ and Q₂₄, respectively.

Specifically, when D₀ is high, the collector current of transistor Q₂₄ is approximately equal to the ratio R₂₀ /R₂₂, times I₅ and the collector current of transistor Q₃₂ is approximately equal to the ratio R₂₀ /R₂₂ times I₆. Similarly, when D₁ is high, the collector currents of transistors Q₂₆ and Q₃₄ are approximately equal to R₂₀ /R₂₄ times I₅ and I₆, respectively; when D₂ is high, the collector currents of transistors Q₂₈ and Q₃₆ are approximately equal to R₂₀ /R₂₆ times I₅ and I₆, respectively; and when D₃ is high, the collector currents of transistors Q₃₀ and Q₃₈ are approximately equal to R₂₀ /R₂₈ times I₅ and I₆, respectively. In terms of equations, using a value of "1" for high and "0" for low: ##EQU9## where I_(C24), I_(C26), I_(C28), I_(C30), I_(C32), I_(C34), I_(C36), and I_(C38) are the collector currents of transistors Q₂₄, Q₂₆, Q₂₈, Q₃₀, Q₃₂, Q₃₄, Q₃₆, and Q₃₈.

Each of these approximations can be improved by scaling the output transistors relative to the input transistors such that the respective output transistor has a saturation current that is equal to the saturation current of the input transistor times the ratio of the input resistor over the respective output resistor. The saturation current, I_(S), of a transistor is found in the basic transistor equation: ##EQU10## which is well known to those skilled in the art. The approximation is further improved by scaling gate transistors Q₄₀, Q₄₂, Q₄₄ and Q₄₆ to transistor Q₄₈ such that the ratio of the resistance of transistor Q₄₈, when it is on, to the resistance of a respective one of the gate transistors, when the respective gate transistor is on, is equal to the ratio of resistor R20 to the respective resistor connected to the respective transistor. For example, r_(ON-Q48) /r_(ON-Q4O) is equal to R20/R22, where r_(ON-Q48) is the "on" resistance of transistor Q₄₈ and r_(ON-Q40) is the "on" resistance of transistor Q₄₀.

Preferably, resistors R₂₈, R₂₆, R₂₄ are chosen to be, respectively, two times, four times, eight times, and sixteen times as large as resistor R₂₀. With these resistor values, equations 19 through 25 become: ##EQU11##

Since the collectors of transistors Q₂₄, Q₂₆, Q₂₈, and Q₃₈ are together at the node carrying output current I₇ and the collectors of transistors Q₃₂, Q₃₄, Q₃₆, and Q₃₀ are connected together at the node carrying output current I₈, output currents I₇ and I₈ are defined as:

    I.sub.7 =I.sub.C24 +I.sub.C26 +I.sub.C28 +I.sub.C38        Eq. (36)

    I.sub.8 =I.sub.C32 +I.sub.C34 +I.sub.C36 +I.sub.C30        Eq. (37)

Thus, the difference between output currents I₇ and I₈ is: ##EQU12##

Therefore, the gain of multiplying DAC 30 is: ##EQU13##

From equation 40, it is clear that binary inputs D₀, D₁, D₂, and D₃ can create a range of discrete gains from -8/16 to 7/16, where each gain is separated by 1/16. In fact, assigning bits of a binary value to the binary inputs, with "0" represented by a voltage of V_(NEG) and "1" represented by a voltage greater than V_(NEG), the decimal equivalent of the binary value is directly translated into the numerator of the gain for the multiplying DAC.

For example, if a binary value is assigned to the binary inputs such that the order of assignment is D₃ D₂ D₁ D₀, from most significant to least significant bit, then a binary value of 0101, which is equal to +5 decimal, will be directly translated into the numerator of the gain by creating a gain of 5/16 for multiplying DAC 30. Specifically, the binary value of 0101 causes D₃ and D₁ to have a voltage of V_(NEG) and causes D₂ and D₀ to have a high voltage relative to V_(NEG). This activates field-effect transistors Q₄₄ and Q₄₀ and de-activates field-effect transistors Q₄₂ and Q₄₆. Thus, the differential pair formed by transistors Q₂₄ and Q₃₂, which contribute a gain of 1/16, and the differential pair formed by transistors Q₂₈ and Q₃₆, which contribute a gain of 4/16 are both active to produce an overall gain of 5/16. Thus, the numerator of the overall gain, 5, is equal to the decimal equivalent of the binary value 0101.

In this format, D₃ will be equal to V_(NEG) for positive numbers and will be high relative to the V_(NEG) for negative numbers. When D₃ is high relative to V_(NEG), transistor Q₄₆ conducts a current and transistors Q₃₀ and Q₃₈ conduct collector currents that represent a gain of -1/2. Thus, a negative binary value represented in two's complement format will translate into a negative gain. For instance, the binary value 1011, representing decimal -5 creates an overall gain of -5/16. Specifically, the binary values 1011 creates gains of -1/2 from transistors Q₃₀ and Q₃₈, 1/8 from transistors Q₂₆ and Q₃₄, and 1/16 from transistors Q₂₄ and Q₃₂, to form a sum of (-8/16+2/16+1/16) or -5/16.

The embodiment of the present invention shown in FIG. 2 does not require a reference current or a reference voltage as found in the prior art. Instead, the embodiment of FIG. 2 develops a reference voltage for the output differential pairs using resistor R₂₀ and associated transistor Q₄₈ in the input bias circuit. Since the voltage developed across resistor R₂₀ and transistor Q₄₈ is dependent upon the common mode current of input currents I₅ and I₆, the output differential pairs are self-biased.

Compared to the prior art, the embodiment of FIG. 2 also has one less transistor between the output current nodes and V_(NEG). This results in a lower headroom voltage for the embodiment of FIG. 2, since there is only one base-emitter voltage drop in FIG. 2, where there had been two base-emitter voltage drops in the prior art.

FIG. 3 shows a second embodiment of the present invention wherein the digitally controlled gates have been shifted to form a parallel connection to the differential pairs of output transistors. Multiplying DAC 32 of FIG. 3 receives two input currents I₁₀ and I₁₁ and produces two output currents I₁₂ and I₁₃. Two input transistors, Q₆₀ and Q₆₂, have their collectors connected to respective input nodes carrying the input currents. The emitters of transistor Q₆₀ and Q₆₂ are connected together at one terminal of resistor R₆₀, which has its second terminal connected to lower power supply V_(NEG). V_(NEG) provides a reference voltage that is lower than an upper power supply V_(POS). The collectors of transistors Q₆₀ and Q₆₂ are coupled to the gates of field-effect transistors Q₆₄ and Q₆₆, respectively. The sources of field-effect transistors Q₆₄ and Q₆₆ are connected to the bases of transistors Q₆₀ and Q₆₂, respectively. The drains of field-effect transistors Q₆₄ and Q₆₆ are connected together at a current source formed by PNP transistor Q₆₈ and resistor R₆₂. Specifically, transistor Q₆₈ has its base and collector coupled together at the drains of transistors Q₆₄ and Q₆₅ and its emitter is connected to resistor R₆₂, which is further connected to upper power supply V_(POS).

Input currents I₁₀ and I₁₁ cause transistors Q₆₄ and Q₆₆, respectively, to conduct sufficient current to turn on transistors Q₆₀ and Q₆₂ such that the collector current of transistor Q₆₀ is equal to I₁₀ and the collector current of transistor Q₆₂ is equal to I₁₁.

Output currents I₁₂ and I₁₃ are formed by four differential pairs of transistors. Transistors Q₇₀ and Q₇₂ form a first differential pair with the collector of transistor Q₇₀ connected to the node carrying output current I₁₂ and the collector of transistor Q₇₂ connected to the node carrying output current I₁₃. The base of transistor Q₇₀ is connected to the base of transistor Q₆₀ and the base of transistor Q₇₂ is connected to the base of transistor Q₆₂. The emitters of transistors Q₇₀ and Q₇₂ are connected to one terminal of resistor R₆₄, which has its second terminal connected to lower reference voltage V_(NEG). The emitters of transistors Q₇₀ and Q₇₂ are also connected to the source of field-effect transistor Q₇₄, which, when active, provides a voltage to the emitters of transistors Q₇₀ and Q₇₂ that causes transistors Q₇₀ and Q₇₂ to turn off. When transistor Q₇₄ is inactive, it appears as an open circuit to the emitters of transistors Q₇₀ and Q₇₂ and as such does not affect the emitter currents of transistors Q₇₀ and Q₇₂.

When transistor Q₇₄ presents an open circuit to the emitters of transistors Q₇₀ and Q₇₂, the collector currents of transistors Q₇₀ and Q₇₂ are proportional to the collector currents of transistors Q₆₀ and Q₆₂, respectively. The proportionality constant for the collector currents is primarily determined by the ratio of input bias resistor R₆₀ to resistor R₆₄. However, for improved accuracy, the width-to-length ratios of transistor Q₇₀ to transistor Q₆₀ and transistor Q₇₂ to transistor Q₆₂ should match the ratio of resistor R₆₀ to resistor R₆₄. In preferred embodiments, resistor R₆₄ is sixteen times as large as resistor R₆₀ such that the collector current of transistor Q₇₀ is 1/16 the collector current of transistor Q₆₀ and the collector current of transistor Q₇₂ is 1/16 the collector current of transistor Q₆₂. Thus, in a preferred embodiment, when transistor Q₇₄ presents an open circuit to the emitters of transistors Q₇₀ and Q₇₂, the collector currents of transistors Q₇₀ and Q₇₂ are 1/16 the current of input currents I₁₀ and I₁₁, respectively. Moreover, the difference between the collector currents of transistors Q₇₀ and Q₇₂ is 1/16 the difference between the input currents, I₁₀ and I₁₁.

Transistors Q₇₆ and Q₇₈ form a second differential pair, with the base of transistor Q₇₆ connected to the base of transistor Q₆₀ and the base of transistor Q₇₈ connected to the base of transistor Q₆₂. The emitters of transistors Q₇₆ and Q₇₈ are connected together at resistor R₆₆ and the source of field-effect transistor Q₈₀. The collector of transistor Q₇₆ is connected to the node carrying output current I₁₂ and the collector of transistor Q₇₈ is connected to the node carrying output current I₁₃. Transistor Q₈₀ controls transistors Q₇₆ and Q₇₈ in the same manner that field-effect transistor Q₇₄ controls transistors Q₇₀ and Q₇₂. In preferred embodiments, resistor R₆₆ is chosen so that it is eight times as large as resistor R₆₀. This causes the collector currents of transistors Q₇₆ and Q₇₈ to be 1/8 the collector current of transistors Q₆₀ and Q₆₂, respectively. Thus, in this configuration, transistor Q₇₆ reflects 1/8 of input current I₁₀ and transistor Q₇₈ reflects 1/8 of input current I₁₁. In addition, the difference between the collector currents of transistors Q₇₆ and Q₇₈ is equal to 1/8 (I₁₀ -I₁₁).

Transistors Q₈₂ and Q₈₄ form a third differential pair, with the base of transistor Q₈₂ connected to the base of transistor Q₆₀ and the base of transistor Q₈₄ connected to the base of transistor Q₆₂. The emitters of transistors Q₈₂ and Q₈₄ are connected together at resistor R₆₈ and the source of field-effect transistor Q₈₆. The collector of transistor Q₈₂ is connected to the node carrying output current I₁₂ and the collector of transistor Q₈₄ is connected to the node carrying output current I₁₃. Transistor Q₈₆ controls transistors Q₈₂ and Q₈₄ in the same manner that field-effect transistor Q₇₄ controls transistors Q₇₀ and Q₇₂. In preferred embodiments, resistor R₆₈ is chosen so that it is four times as large as resistor R₆₀. This causes the collector currents of transistors Q₈₂ and Q₈₄ to be 1/4 the collector current of transistors Q₆₀ and Q₆₂, respectively. Thus, in this configuration, transistor Q₈₂ reflects 1/4 of input current I₁₀ and transistor Q₈₄ reflects 1/4 of input current I₁₁. In addition, the difference between the collector currents of transistors Q₈₂ and Q₈₄ is equal to 1/4(I₁₀ -I₁₁).

Transistors Q₈₈ and Q₉₀ form a last differential pair, with their emitters connected together at resistor R₇₀ and the source of field-effect transistor Q₉₂. The second end of resistor R₇₀ is connected to V_(NEG). The base of transistor Q₈₈ is connected to the base of transistor Q₆₀, but the collector of transistor Q₈₈ is cross-connected to the node carrying output current I₁₃. Similarly, the base of transistor Q₉₀ is connected to the base of transistor Q₆₂, but the collector of transistor Q₉₀ is cross-connected to the node carrying output current I₁₂. Transistor Q₉₂ controls transistors Q₈₈ and Q₉₀ in the same manner that field-effect transistor Q₇₄ controls transistors Q₇₀ and Q₇₂. In preferred embodiments, resistor R₇₀ is chosen so that it is twice as large as resistor R₆₀. This causes the collector currents of transistors Q₈₈ and Q₉₀ to be 1/2 the collector current of transistors Q₆₀ and Q₆₂, respectively. Thus, in this configuration, transistor Q₈₈ reflects 1/2 of input current I₁₀ and transistor Q₉₀ reflects 1/2 of input current I₁₁. In addition, the difference between the collector currents of transistors Q₈₈ and Q₉₀ is equal to 1/2(I₁₀ -I₁₁). Because of the cross-connections between the collectors of transistors Q₈₈ and Q₉₀ and the output nodes carrying I₁₃ and I₁₂, respectively, this results in a gain contribution of -1/2 when field-effect transistor Q₉₂ is inactive.

The addition of transistors Q₆₄ and Q₆₆ in FIG. 3 provides a benefit over the embodiment of FIG. 2. Specifically, transistors Q₆₄ and Q₆₆ eliminate input current loss due to the input signals at the bases of input transistors Q₆₀ and Q₆₂ and output transistors Q₇₀, Q₇₂, Q₇₆, Q₇₈, Q₈₂, Q₈₄, Q₈₈, and Q₉₀. This improves performance because the amount of base current drawn through these transistors is dependent on the particular beta or current gain of each transistor, and manufacturing variations can cause the transistors to have unequal betas. Such variations can cause inconsistent gains between nominally identical multiplying digital-to-analog converters. They can also produce non-linearities in the gain transfer curve within a DAC.

To keep transistors Q₆₄ and Q₆₆ in an active, and predictable state of operation, bias circuits are connected to the sources of each transistor. Specifically, at the source of transistor Q₆₄, diode D₁₁ and resistor R₇₂ form a first bias circuit. This bias circuit allows transistor Q₆₄ to conduct a larger current than simply the base currents of transistors Q₆₀, Q₇₀, Q₇₆, Q₈₂, and Q₈₈. The anode of diode D₁₁ is connected to the source of transistor Q₆₄ and the cathode of diode D₄ is connected to resistor R₇₂, The second terminal of resistor R₇₂ is connected to lower power supply V_(NEG). Similarly, diode D₂₂ and resistor R₇₄ form a bias circuit at the source of transistor Q₆₆. The anode of D₂₂ is connected to the source of transistor Q₆₆ and the cathode of D₂₂ is connected to resistor R₇₄. The second terminal of resistor R₇₄ is connected to lower power supply voltage V_(NEG). In preferred embodiments, resistors R₇₂ and R₇₄ are each equal to resistor R₆₀, such that both the current through resistor R₇₂ and the current through resistor R₇₄ are individually equal to the sum of input currents I₁₀ and I₁₁.

Since the base currents of transistors Q₆₀, Q₆₂, Q₇₀, Q₇₂, Q₇₆, Q₇₈, Q₈₂, Q₈₄, Q₈₈, and Q₉₀ are quite small, the current through the sources of transistors Q₆₄ and Q₆₆ is approximately equal to the currents through resistor R₇₂ and resistor R₇₄, respectively. Thus, both transistor Q₆₄ and Q₆₆ carry a current equal to the sum of the input currents I₁₀ and I₁₁. This causes the current source formed by transistors Q₆₈ and resistor R₆₂ to produce a current equal to twice the sum of input currents I₁₀ and I₁₁.

Connected between the gate and source of transistor Q₆₄ is capacitor C₁. Capacitor C₁ has a body connection that is also connected to the gate of transistor Q₆₄. Capacitor C₁ is added to the circuit to provide compensation for a parasitic pole in the frequency response introduced by the addition of transistor Q₆₄. Similarly, capacitor C₂ is connected between the gate and source of transistor Q₆₆ with a body connection to the gate of transistor Q₆₆, to compensate for the pole introduced by transistor Q₆₆.

As discussed above, field-effect transistors Q₇₄, Q₈₀, Q₈₆, and Q₉₂ control the current flow through the various differential pairs of output transistors. In preferred embodiments, the gates of transistors Q₇₄, Q₈₀, Q₈₆, and Q₉₂ are connected to separate digital inputs, which represent bits of a binary value. In particular, the gate of transistor Q₇₄ receives the least significant bit of the binary value, the gate of transistor Q₈₀ receives the second least significant bit, the gate of transistor Q₈₆ receives the third least significant bit, and the gate of transistor Q₉₂ receives the most significant bit. In this preferred configuration, a voltage at the respective gate equal to V_(NEG) represents a bit value of "1" and a voltage greater than V_(NEG) at the respective gate represents a bit value of "0". Thus, for a bit value of "1" the voltage at the respective gate is equal to V_(NEG) and the respective field-effect transistor, for instance Q₇₄, is inactive and presents an open circuit to the emitters of the respective differential pair. In this state, the respective differential pair conducts a current. For a bit value of "0", a voltage greater than V_(NEG) appears at the gate of the respective field-effect transistor and the field-effect transistor is active. This raises the voltage at the emitters of the respective differential pair causing the differential pair to become inactive.

Based on the gains attributable to each differential pair, as discussed above, field-effect transistors Q₇₄, Q₈₀, Q₈₆ and Q₉₂ are able to discretely control gain contributions of 1/16, 1/8, 1/4, and -1/2, respectively. Thus, multiplying DAC 32 can implement discrete gains between -8/16 and 7/16, with each gain separated by 1/16, and with the numerator of the gain represented by the decimal equivalent of the binary value received at the gates of field-effect transistors Q₇₄, Q₈₀, Q₈₆, and Q₉₂.

For example, a value of 1001, representing -7 decimal, creates a gain of -7/16 by deactivating field-effect transistors Q₉₂ and Q₇₄, and activating transistors Q₈₀ and Q₈₆. The activation of transistors Q₈₀ and Q₈₆ causes the voltage at the drains of those transistors to appear at their sources, and thus raises the voltage at the emitters of transistor Q₇₆, Q₇₈, Q₈₂, and Q₈₄. This causes transistors Q₇₆, Q₇₈, Q₈₂, Q₈₄ to become inactive. The deactivation of field-effect transistors Q₇₄ and Q₉₂ causes those transistors to appear as open circuits at the emitters of transistors Q₇₀, Q₇₂, Q₈₈, and Q₉₀. Thus, the differential pair formed by transistors Q₇₀ and Q₇₂ is active and contributes a gain of +1/16; and the differential pair formed by transistors Q₈₈ and Q₉₀ is active and contributes a gain of -1/2. Thus, the total gain resulting from a binary value of 1001 is (1/16-1/2) or -7/16.

The voltage at the drains of Q₇₄, Q₈₀, Q₈₆, and Q₉₂, which is used to turn off selected differential pairs, is created using a voltage source driven by a series of current mirrors. As discussed above, transistor Q₆₈ and resistor R₆₂ act as a current source providing twice the sum of input currents I₁₀ and I₁₁. The base of transistor Q₆₈ is connected to the base of transistor Q₉₄, which is also a PNP transistor. The emitter of transistor Q₉₄ is connected to resistor R₇₆ which is further connected to upper power supply V_(POS). In preferred embodiments, the resistance of resistor R₇₆ is twice as large as the resistance of resistor R₆₂ and transistor Q₉₄ has half the saturation current of transistor Q₆₈. In this configuration, the collector current of transistor Q₉₄ is one-half the collector current of transistor Q₆₈.

The collector of transistor Q₉₄ is connected to the collector of NPN transistor Q₉₆ and the base of NPN transistor Q₉₈. The emitter of transistor Q₉₆ is connected to resistor R₇₈ which has a second terminal connected to lower power supply voltage V_(NEG). The emitter of transistor Q₉₈ is connected to the base of transistor Q₉₆ forming a feedback loop. The collector of transistor Q₉₈ is connected to upper power supply V_(POS).

In operation, the current of transistor Q₉₄ causes transistors Q₉₈ and Q₉₆ to become active such that nearly all of the collector current of transistor Q₉₄ is carried through the collector of transistor Q₉₆. Since the collector current of transistor Q₉₆ is approximately equal to its emitter current, resistor R₇₈ carries a current equal to the collector current of transistor Q₉₄. Since the collector current of transistor Q₉₄ is 1/2 the collector current of transistor Q₆₈, and the collector current of transistor Q₆₈ is equal to twice the sum of input currents I₁₀ and I₁₁, the collector current of transistor Q₉₄ is equal to the sum of the input currents I₁₀ and I₁₁. Thus, resistor R₇₈ carries a current equal to the sum of the input currents I₁₀ and I₁₁. In preferred embodiments, resistor R₇₈ is equal to resistor R₆₀ so that the voltage developed across resistor R₇₈ is equal to the voltage developed across resistor R₆₀, since both resistors carry a current equal to the sum of the input currents I₁₀ and I₁₁.

Thus, the voltage at the base of transistor Q₉₆ is equal to the voltage across resistor R₆₀ plus the diode voltage drop between the base and emitter of transistor Q₉₆. This voltage is approximately equal to the voltage at the bases of the differential pairs of transistors.

The base of transistor Q₉₆ is connected to the drains of field-effect transistors Q₇₄, Q₈₀, Q₈₆, and Q₉₂. When the gate of a field effect transistor is high, its drain-to-source impedance is low and the voltage at the base of transistor Q₉₆ appears at the source of the active field-effect transistor and at the emitters of the differential output pair coupled to the active field-effect transistor. Since the voltage at the base of transistor Q₉₆ is approximately equal to the voltage at the bases of the differential pairs, the base-emitter voltages of the transistors in the differential pair drops to zero. Thus, a differential pair of transistors becomes inactive when its associated field-effect transistor is active.

Driving the voltage source by using a current mirror that is dependent upon the input current signals allows the voltage at the sources of field-effect transistors Q₇₄, Q₈₀, Q₈₆, and Q₉₂ to vary with the common mode of the input signals. This self-biasing eliminates errors that might otherwise occur if a separate bias voltage were used to control the differential output pairs of transistors.

A capacitor C₃ is connected between the collector of transistor Q₉₆ and lower power supply V_(NEG). Capacitor C₃ compensates the frequency response of the closed loop system created by transistors Q₉₈, and Q₉₆, and resistor R₇₈.

To maintain transistor Q₉₈ in an active region of operation, a bias circuit is connected between the emitter of transistor of Q₉₈ and lower power supply V_(NEG). The bias circuit includes diode D₃₃ and resistor R₈₀ with the anode of diode D₃₃ connected to the emitter of transistor Q₉₈, the cathode of diode D₃₃ connected to one terminal resistor R₈₀, and the second terminal of resistor R₈₀ connected to lower power supply V_(NEG). In preferred embodiments, resistor R₈₀ is equal to resistor R₆₄.

The embodiment of FIG. 3 has a slower response time and settling time to changes in the binary inputs than the embodiment of FIG. 2. However, the embodiment of FIG. 3 has a slightly smaller headroom voltage than the embodiment of FIG. 2, because the field-effect transistors are not in series with the differential pairs in the embodiment of FIG. 3.

Although the embodiments shown in FIG. 2 and FIG. 3 disclose two different mechanisms for creating a current mirror between the input transistors and the differential pair of output transistors, those skilled in the art will recognize that other techniques for creating current mirrors may be substituted for those shown in FIGS. 2 and 3 without departing from the scope of the present invention.

Although the present invention has been described with reference to preferred embodiments, workers skilled in the art will recognize that changes may be made in form and detail without departing from the spirit and scope of the invention. 

What is claimed is:
 1. A multiplying digital-to-analog converter for producing first and second output currents that have a magnitude difference equal to a gain value multiplied by the magnitude difference between first and second input currents, the converter comprising:first and second input nodes for carrying the first and second input currents, respectively; first and second output nodes for carrying the first and second output currents, respectively; a first input transistor having a first terminal coupled to the first input node, a second terminal having a voltage that increases with increases in the first input current, and a third terminal for carrying a first input bias current; a second input transistor having a first terminal coupled to the second input node, a second terminal having a voltage that increases with increases in the second input current, and a third terminal for carrying a second input bias current; at least one input bias circuit path connected between a reference voltage and the third terminals of the first and second input transistors, the at least one input bias circuit path having a net impedance greater than zero; a first output transistor having a first terminal coupled to the first output node, a second terminal coupled to the second terminal of the first input transistor, and a third terminal for carrying a first output bias current; a second output transistor having a first terminal coupled to the second output node, a second terminal coupled to the second terminal of the second input transistor, and a third terminal for carrying a second output bias current; and a first output bias circuit between a reference voltage and the third terminals of the first and second output transistors, the first output bias circuit connected to a gate means capable of being in at least a first and second state, the first output bias circuit having a first output bias impedance and carrying a net current equal to the sum of the first and second output bias currents when the gate means is in the first state, the first and second output bias currents having zero magnitude when the gate means is in the second state.
 2. The converter of claim 1 further comprising:a third output transistor having a first terminal coupled to the first output node, a second terminal coupled to the second terminal of the first input transistor, and a third terminal for carrying a third output bias current; a fourth output transistor having a first terminal coupled to the second output node, a second terminal coupled to the second terminal of the second input transistor, and a third terminal for carrying a fourth output bias current; and a second output bias circuit between a reference voltage and the third terminals of the third and fourth output transistors, the second output bias circuit connected to a second gate means capable of being in at least a first and second state, the second output bias circuit having a second output bias impedance and carrying a net current equal to the sum of the third and fourth output bias currents when the second gate means is in the first state, the third and fourth output bias currents having zero magnitude when the second gate means is in the second state.
 3. The converter of claim 1 further comprising:a fifth output transistor having a first terminal coupled to the second output node, a second terminal coupled to the second terminal of the first input transistor, and a third terminal for carrying a fifth output bias current; a sixth output transistor having a first terminal coupled to the first output node, a second terminal coupled to the second terminal of the second input transistor, and a third terminal for carrying a sixth output bias current; and a third output bias circuit between a reference voltage and the third terminals of the fifth and sixth output transistors, the third output bias circuit connected to a third gate means capable of being in at least a first and second state, the third output bias circuit having a third output bias impedance and carrying a net current equal to the sum of the fifth and sixth output bias currents when the third gate means is in the first state, the fifth and sixth output bias currents having zero magnitude when the third gate means is in the second state.
 4. The converter of claim 1 wherein the ratio of the impedance of the at least one input bias circuit path to the first output bias impedance is equal to the ratio of the sum of the currents at the first terminals of the first and second output transistors over the sum of the currents at the first terminals of the first and second input transistors.
 5. The converter of claim 2 wherein the ratio of the impedance of the at least one input bias circuit path to the first output bias impedance is equal to the ratio of the sum of the currents at the first terminals of the first and second output transistors over the sum of the currents at the first terminals of the first and second input transistors and the ratio of the impedance of the at least one input bias circuit path to the second output bias impedance is equal to the ratio of the sum of the currents at the first terminals of the third and fourth output transistors over the sum of the currents at the first terminals of the first and second input transistors.
 6. The converter of claim 5 wherein the ratio of the first output impedance to the second output impedance is equal to two.
 7. The converter of claim 6 wherein the first and second gate means are controlled by first and second gate inputs, the first gate input receiving a signal representing the least significant binary digit in a binary value and the second gate input receiving a signal represent the next to least significant binary digit in the binary value.
 8. The converter of claim 3 wherein the first and third gate means are controlled by first and third gate inputs, respectively, the third gate input receiving a signal representing the most significant binary digit in a binary value, the most significant binary digit capable of representing a change in sign in the binary value.
 9. The converter of claim 1 wherein the gate means is connected in series with a first output impedance in the first output bias circuit.
 10. The converter of claim 1 wherein the gate means is connected between the third terminals of the first and second output transistors and a voltage source.
 11. The converter of claim 10 wherein when the gate means is in the second state, the voltage source raises the voltage at the third terminals of the first and second output transistors to reduce the magnitude of the first and second output bias currents to zero.
 12. A multiplying digital to analog converter for producing first and second output currents that have a magnitude difference equal to a gain value multiplied by the magnitude difference between first and second input currents, the converter comprising:first and second input nodes for carrying the first and second input currents, respectively; first and second output nodes for carrying the first and second output currents, respectively; a first input transistor having a first terminal coupled to the first input node, a second terminal having a voltage that increases with increases in the first input current, and a third terminal for carrying a first input bias current; a second input transistor having a first terminal coupled to the second input node, a second terminal having a voltage that increases with increases in the second input current, and a third terminal for carrying a second input bias current; a first output transistor having a first terminal coupled to the first output node, a second terminal coupled to the second terminal of the first input transistor, and a third terminal for carrying a first output bias current; a second output transistor having a first terminal coupled to the second output node, a second terminal coupled to the second terminal of the second input transistor, and a third terminal for carrying a second output bias current; and a first output bias circuit between a reference voltage and the third terminals of the first and second output transistors, the first output bias circuit including a gate transistor capable of receiving a gate input signal, the gate transistor being the only element in the first output bias circuit that is capable of receiving to a signal other than the first and second output bias currents and the reference voltage.
 13. The converter of claim 12 wherein the first output bias circuit comprises:a resistor having first and second terminals, the first terminal connected at the third terminals of the first and second output transistors; and the gate transistor, having three terminals, a first terminal connected at the resistor's second terminal, a second terminal connected to the reference voltage, and a third terminal connected to a node that is capable of carrying the gate input signal.
 14. The converter of claim 13 further comprising:an input bias circuit connected between a reference voltage and the third terminals of the first and second input transistors, the input bias circuit creating a voltage that changes as the sum of the first and second input bias currents changes.
 15. The converter of claim 14 wherein the input bias circuit creates an impedance between the reference voltage and the third terminals of the first and second input transistors, the ratio of the impedance of the input bias circuit to the impedance of the first output bias circuit equal to the inverse of the ratio of the sum of the first and second input bias currents to the sum of the first and second output bias currents.
 16. A multiplying digital to analog converter for producing first and second output currents that have a magnitude difference equal to a gain value multiplied by the magnitude difference between first and second input currents, the converter comprising:first and second input nodes for carrying the first and second input currents, respectively; first and second output nodes for carrying the first and second output currents, respectively; a first current mirror, having first, second, third, and fourth mirror connection points, the first mirror connection point coupled to the first input node, the second mirror connection point coupled to the first output node, the third mirror connection point providing an input bias node, and the fourth mirror connection point providing an output bias node, the first current mirror comprising a first common voltage point having a first common voltage, the first current mirror capable of providing an output current at the second connection point that is a fraction of the current received at the first connection point; a second current mirror, having fifth, sixth, seventh and eighth mirror connection points, the fifth mirror connection point coupled to the second input node, the sixth mirror connection point coupled to the second output node, the seventh mirror connection point coupled to the input bias node, and the eighth mirror connection point coupled to the output bias node, the second current mirror comprising a second common voltage point having a second common voltage, the second current mirror capable of providing an output current at the sixth connection point that is a fraction of the current received at the fifth connection point; an output bias circuit connected between the output bias node and a reference voltage; a gate having a first gate connection coupled to the output bias node, a second gate connection coupled to a gate input node, and a third gate connection coupled to a tracking voltage node, the tracking voltage node having a tracking voltage that tracks the average of the first common voltage and the second common voltage, the gate providing a low impedance path between the tracking voltage node and the output bias node when the gate input node is at a first voltage, the low impedance path causing the currents provided to the second and sixth mirror connection points by the first and second current mirrors, respectively, to diminish to zero magnitude.
 17. The converter of claim 16 wherein:the first current mirror further comprises a first loop transistor having a first loop connection point coupled to the first mirror connection point, a second loop connection point coupled to the first common voltage point, and a third loop connection point; the second current mirror further comprises a second loop transistor having a fourth loop connection point coupled to the fifth mirror connection point, a fifth loop connection point coupled to the second common voltage point, and a sixth loop connection point coupled to the third loop connection point; and the converter further comprises a loop current source coupled to the third loop connection point.
 18. The converter of claim 17 further comprising:a tracking current mirror, coupled to the loop current source, for producing a tracking mirror current in proportion to the current of the loop current source; and a voltage source, coupled to the tracking current mirror and the tracking voltage node, the voltage source creating the tracking voltage based on the tracking mirror current.
 19. The converter of claim 18 further comprising:a first bypass circuit, connected between the first common voltage node and the reference voltage, the first bypass circuit having a first bypass impedance; and a second bypass circuit, connected between the second common voltage node and the reference voltage, the second bypass circuit having a second bypass impedance.
 20. The converter of claim 19 wherein:the first and second bypass impedances are such that the first and second bypass circuits each conduct currents equal to the current leaving the input bias node; the tracking current mirror produces a tracking current that is one half the current produced by the loop current source; and the voltage source conducts nearly the entire tracking current through a circuit to produce a portion of the tracking voltage. 